Question

Wyznacz współczynnik p i q wielomianu, jeśli w(-1)=4, w(0)=3 ;
w(x)=x³+px²-4xtq

Answer 1

W(-1) =4, w(0) = 3
w(x) =x^2 +px -4x +q

w(0) =q = 3
w(-1) = (-1)^2 -p +4 +q = 5 -p +q = 5 - p +3 = 8 - p
ale w( -1) = 4 , zatem 8 - p = 4
p = 8-4 = 4

Odp. p = 4 oraz q = 4